KQo
60.72%
Wins 60.34%, ties 0.74%
43s
39.28%
Wins 38.92%, ties 0.74%
KQo against 43s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KQo | 60.343 | 0.743 | 38.914 | 60.715 |
| 43s | 38.914 | 0.743 | 60.343 | 39.285 |
KQo is an offsuit hand and 43s is a suited hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Split pots make up 0.74% of the boards, and both equity figures count them as half a win each.
Among the 169 starting hands, KQo is number 23 and 43s is number 150 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KQo | 49,596,000 | 611,000 | 31,984,000 |
| 43s | 31,984,000 | 611,000 | 49,596,000 |
The board total is exact, 48 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| KQo | 1.546 | 1.657 | 2.570 | 0.647 |
| 43s | 0.647 | 2.570 | 1.657 | 1.546 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
The flop changes the picture. KQo does best on rainbow flops topped by a ten or better, at 68.69%, and worst on low rainbow flops (nine high or lower), at 35.50%. 43s is ahead on low rainbow flops (nine high or lower), even though it trails KQo when every flop is counted.
| Flop | Share of flops | KQo wins | Ties | 43s wins | KQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 68.537 | 0.309 | 31.154 | 68.691 |
| Rainbow, nine or lower | 6.313 | 34.903 | 1.191 | 63.906 | 35.498 |
| Two-tone | 46.667 | 58.846 | 0.457 | 40.697 | 59.074 |
| Monotone | 5.212 | 57.548 | 2.645 | 39.807 | 58.871 |
| Paired | 17.091 | 62.835 | 1.404 | 35.761 | 63.537 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
Each hand has a baseline against a random hand: 61.46% for KQo, 38.64% for 43s. Here the change is -0.74 and +0.64 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KQo, all flops | 60.715 | 61.456 | -0.741 | 0.98794 |
| KQo, rainbow, ten or higher | 68.691 | 61.456 | +7.235 | 1.11773 |
| KQo, rainbow, nine or lower | 35.498 | 61.456 | -25.958 | 0.57762 |
| KQo, two-tone | 59.074 | 61.456 | -2.382 | 0.96124 |
| KQo, monotone | 58.871 | 61.456 | -2.585 | 0.95794 |
| KQo, paired | 63.537 | 61.456 | +2.081 | 1.03386 |
| 43s, all flops | 39.285 | 38.642 | +0.643 | 1.01664 |
| 43s, rainbow, ten or higher | 31.309 | 38.642 | -7.333 | 0.81023 |
| 43s, rainbow, nine or lower | 64.502 | 38.642 | +25.860 | 1.66922 |
| 43s, two-tone | 40.926 | 38.642 | +2.284 | 1.05911 |
| 43s, monotone | 41.129 | 38.642 | +2.487 | 1.06436 |
| 43s, paired | 36.463 | 38.642 | -2.179 | 0.94361 |
Does a shared suit matter?
Two kinds of deal exist here. In 24 of them the hands share a suit and KQo holds 61.43%. In 24 they do not, and it holds 60.00%. KQo does better with a shared suit, by 1.43 points.
| Deals | Specific deals | Share of deals | KQo wins | Ties | 43s wins | KQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 61.040 | 0.779 | 38.181 | 61.430 |
| No shared suit | 24 | 50.00 | 59.647 | 0.707 | 39.646 | 60.000 |
How often this matchup comes up
How often does it happen? 48 of the 1,624,350 ordered deals (0.0030%) are KQo against 43s, and 96 (0.0059%) if either hand may sit in either seat.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. KQo averages $121.44 from the $200, up $21.44; 43s averages $78.56, down $21.44.
Think in thousands: about 604 of 1,000 go to KQo, about 389 go to 43s, and about 7 are chopped.
The same matchup from the other side
If you came looking for 43s against KQo, the numbers are the same with the hands swapped: 39.28% and 60.72%.
Keep exploring
KsQh against 4d3d is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
We counted every case. Each suit pattern of the 48 specific KQo against 43s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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